Anisotropy and the Onset of the Thermoconvective Instability in a Vertical Porous Layer

Abstract The thermoconvective instability of the parallel vertical flow in a fluid saturated porous layer bounded by open boundaries is studied. are assumed to be kept at constant uniform pressure while their temperatures and different, thus forcing horizontal temperature gradient across layer. anisotropic permeability accounted for assuming principal axes oriented along directions perpendicular boundaries. A linear stability analysis based on Fourier normal modes perturbation carried out testing effect inclination mode wavevector vertical. neutral curves critical Rayleigh number onset evaluated solving numerically eigenvalue problem.